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Simplifying 5 + -2(x + 6) = 10 + -7(x + -1) Reorder the terms: 5 + -2(6 + x) = 10 + -7(x + -1) 5 + (6 * -2 + x * -2) = 10 + -7(x + -1) 5 + (-12 + -2x) = 10 + -7(x + -1) Combine like terms: 5 + -12 = -7 -7 + -2x = 10 + -7(x + -1) Reorder the terms: -7 + -2x = 10 + -7(-1 + x) -7 + -2x = 10 + (-1 * -7 + x * -7) -7 + -2x = 10 + (7 + -7x) Combine like terms: 10 + 7 = 17 -7 + -2x = 17 + -7x Solving -7 + -2x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + -2x + 7x = 17 + -7x + 7x Combine like terms: -2x + 7x = 5x -7 + 5x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 5x = 17 + 0 -7 + 5x = 17 Add '7' to each side of the equation. -7 + 7 + 5x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 17 + 7 5x = 17 + 7 Combine like terms: 17 + 7 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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